What is the Least Common Multiple of 46866 and 46884?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 46866 and 46884 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46866 and 46884, than apply into the LCM equation.

GCF(46866,46884) = 6
LCM(46866,46884) = ( 46866 × 46884) / 6
LCM(46866,46884) = 2197265544 / 6
LCM(46866,46884) = 366210924

Least Common Multiple (LCM) of 46866 and 46884 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46866 and 46884. First we will calculate the prime factors of 46866 and 46884.

Prime Factorization of 46866

Prime Factorization of 46884

Now multiplying the highest exponent prime factors to calculate the LCM of 46866 and 46884.

LCM(46866,46884) = 2² × 3¹ × 73¹ × 107¹ × 3907¹
LCM(46866,46884) = 366210924